How fast extinction occurs in bisexual populations with size-depending mating dynamics?

TL;DR

This paper investigates the timing of extinction events in bisexual populations with size-dependent mating dynamics using Extreme Value Theory, providing theoretical insights and numerical examples.

Contribution

It introduces a novel application of Extreme Value Theory to approximate extinction times in populations with size-dependent mating behaviors.

Findings

Theoretical formulas for extinction time distribution

Numerical examples illustrating the approximation method

Validation of the approach with simulated data

Abstract

Given that extinction in a bisexual population is certain, we study a way to approximate the time when this extinction occurs. Our study is based on standard tools from Extreme Value Theory, which in practice are very easy to implement. We present the theoretical results derived from our study and provide a few numerical examples of such results.